You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table. X Y Z A 38 24 31 B 47 22 35 Give all answers rounded to 3 places...


You are conducting a test of the claim that the row variable and the column variable are dependent in the following contingency table.























XYZ
A 38 24 31
B 47 22 35

Give all answers rounded to
3 places after the decimal point, if necessary.


(a) Enter theexpected frequencies
below:























XYZ
A
B

To find the expected frequencies:



  1. Enter the observed matrix into the calculator, per the Technology Corner.

  2. Perform the test, per the Technology Corner.

  3. Return to the matrix menu and view the B matrix. This will be the expected frequencies.


(b) What is the chi-square
test-statistic
for this data?

      Test Statistic: χ2=


(c) What is the
critical value
for this test of independence when using a significance level of αα = 0.005?

      Critical Value: χ2= (Enter 10.597 as the answer to this question.)


(d) What is the correct conclusion of this hypothesis test at the 0.005 significance level?





  • There
    is
    sufficient evidence to warrant
    rejection
    of the claim that the row and column variables are dependent.

  • There is
    not
    sufficient evidence to warrant
    rejection
    of the claim that the row and column variables are dependent.

  • There is
    not
    sufficient evidence to
    support
    the claim that the row and column variables are dependent.

  • There
    is
    sufficient evidence to
    support
    the claim that the row and column variables are dependent.





Remember to give all answers rounded to
3 places after the decimal point, if necessary.



Jun 11, 2022
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